Recall that the quadratic factors as:
(x - 3)(x - 5) < 0
Therefore, the intervals that must be tested are
x<3,3 5.
The solution set for the quadratic inequality is:

Option 4:  (3,5)

Step-by-step explanation:

(x - 3)(x - 5) < 0

Therefore, the intervals that must be tested are x < 3 , 3<x<5  and  x>5

Test of the interval  x<3⇒ Let x = 0 ⇒ (-3)(-5) = 15 > 0

Test of the interval  3<x<5 ⇒ Let x = 4  ⇒ (4-3)(4-5) = (1)(-1) = -1 < 0

Test of the interval  x>5⇒ Let x = 6 ⇒ (6-3)(6-5) = (3)(1) = 3 > 0

So, the solution set for the quadratic inequality is the interval 3<x<5

Or x ∈ (3,5)

See the attached figure.

The answer is option 4

step-by-step explanation: 4 cause 2+2=4